260533039104 has 936 divisors, whose sum is σ = 897932805120. Its totient is φ = 72459878400.

The previous prime is 260533039099. The next prime is 260533039133. The reversal of 260533039104 is 401930335062.

It is a happy number.

260533039104 is a `hidden beast` number, since 2 + 605 + 3 + 3 + 0 + 39 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669479389 + ... + 3669479459.

It is an arithmetic number, because the mean of its divisors is an integer number (959329920).

Almost surely, 2^260533039104 is an apocalyptic number.

260533039104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260533039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448966402560).

260533039104 is an abundant number, since it is smaller than the sum of its proper divisors (637399766016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260533039104 is a wasteful number, since it uses less digits than its factorization.

260533039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 260533039104 in words is "two hundred sixty billion, five hundred thirty-three million, thirty-nine thousand, one hundred four".